TMTF at different carrier frequencies
From Viemeister (1979)
About 3 dB
About 3 dB
About 3 dB
If you use a band of noise centered at some frequency as the carrier, sensitivity is better at higher frequencies, but the shape of the TMTF (the 3 dB down point) is the same at all frequencies. That would suggest that temporal resolution does not depend on frequency.